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52116736 = 287127229
BaseRepresentation
bin1100011011001…
…1110100000000
310122001210201111
43012303310000
5101320213421
65101013104
71201661560
oct306636400
9118053644
1052116736
1127467091
1215554194
13aa49a09
146cc8da0
154896ee1
hex31b3d00

52116736 has 72 divisors (see below), whose sum is σ = 120350720. Its totient is φ = 22063104.

The previous prime is 52116721. The next prime is 52116739. The reversal of 52116736 is 63761125.

It is a junction number, because it is equal to n+sod(n) for n = 52116698 and 52116707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52116739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227470 + ... + 227698.

Almost surely, 252116736 is an apocalyptic number.

52116736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60175360).

52116736 is an abundant number, since it is smaller than the sum of its proper divisors (68233984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52116736 is a wasteful number, since it uses less digits than its factorization.

52116736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 52116736 is about 7219.1921985773. The cubic root of 52116736 is about 373.5302136157.

The spelling of 52116736 in words is "fifty-two million, one hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 128 224 229 254 256 448 458 508 889 896 916 1016 1603 1778 1792 1832 2032 3206 3556 3664 4064 6412 7112 7328 8128 12824 14224 14656 16256 25648 28448 29083 29312 32512 51296 56896 58166 58624 102592 113792 116332 203581 205184 227584 232664 407162 410368 465328 814324 930656 1628648 1861312 3257296 3722624 6514592 7445248 13029184 26058368 52116736